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On singular critical points of positive operators in Krein spaces |
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| Authors: | Branko Curgus Aurelian Gheondea Heinz Langer |
| Institution: | Department of Mathematics, Western Washington University, Bellingham, Washington 98225 ; Institutul de Matematica al Academiei Române, C.P. 1-764, 70700 Bucuresti, România ; Institute for Analysis, Vienna Technical University, Wiedner Hauptstrasse 8-10, A-1040 Vienna, Austria |
| Abstract: | We give an example of a positive operator |
| Keywords: | Krein space definitizable operator critical point |
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in a Krein space with the following properties: the nonzero spectrum of 
consists of isolated simple eigenvalues, the norms of the orthogonal spectral projections in the Krein space onto the eigenspaces of 
are uniformly bounded and the point 
is a singular critical point of 